Spectra and symmetric eigentensors of the Lichnerowicz Laplacian on $S^n$

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We compute the eigenvalues with multiplicities of the Lichnerowicz Laplacian acting on the space of symmetric covariant tensor fields on the Euclidian sphere $S^n$. The spaces of symmetric eigentensors are explicitly given.
21 pages

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Differential Geometry, Mathematical Physics, 53B21; 53B50; 58C40

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http://salesiana.dossiersoluciones.com/handle/123456789/127194

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.1363
 http://arxiv.org/abs/0704.1363

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arXiv